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10 gm of ice cubes at 0°C are released in a tumbler (water equivalent 55 g) at 40°C. Assuming that negligible heat is taken from the surroundings, the temperature of water in the tumbler becomes nearly (L = 80 cal/g)
- 31°C
- 22°C
- 19°C
- 15°C
Correct answer: 22°C
Solution
The heat required to melt the ice is Q1 = mL = 10 × 80 = 800 cal. The heat released by the water and tumbler as they cool down to 0°C is Q2 = (mass of water + water equivalent of tumbler) × specific heat × temperature drop = (10 + 55) × 1 × (40 - T). Equating Q1 and Q2, solving gives T ≈ 22°C.
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